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442931944280 = 235729131416399
BaseRepresentation
bin1100111001000001100…
…11010001101101011000
31120100021200121002221012
412130200303101231120
524224111034204110
6535251412433052
744000160256220
oct6344063215530
91510250532835
10442931944280
11160934598591
1271a15018788
13329cac67577
141761bcdd080
15b7c59ce905
hex6720cd1b58

442931944280 has 128 divisors (see below), whose sum is σ = 1187239680000. Its totient is φ = 145506117120.

The previous prime is 442931944261. The next prime is 442931944289. The reversal of 442931944280 is 82449139244.

It is a super-2 number, since 2×4429319442802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442931944289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855521 + ... + 1271919.

It is an arithmetic number, because the mean of its divisors is an integer number (9275310000).

Almost surely, 2442931944280 is an apocalyptic number.

442931944280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442931944280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593619840000).

442931944280 is an abundant number, since it is smaller than the sum of its proper divisors (744307735720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442931944280 is a wasteful number, since it uses less digits than its factorization.

442931944280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416577 (or 416573 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 442931944280 in words is "four hundred forty-two billion, nine hundred thirty-one million, nine hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 131 140 145 203 232 262 280 290 406 524 580 655 812 917 1015 1048 1160 1310 1624 1834 2030 2620 3668 3799 4060 4585 5240 7336 7598 8120 9170 15196 18340 18995 26593 30392 36680 37990 53186 75980 106372 132965 151960 212744 265930 416399 531860 832798 1063720 1665596 2081995 2914793 3331192 4163990 5829586 8327980 11659172 12075571 14573965 16655960 23318344 24151142 29147930 48302284 54548269 58295860 60377855 84528997 96604568 109096538 116591720 120755710 169057994 218193076 241511420 272741345 338115988 381837883 422644985 436386152 483022840 545482690 676231976 763675766 845289970 1090965380 1527351532 1581899801 1690579940 1909189415 2181930760 3054703064 3163799602 3381159880 3818378830 6327599204 7636757660 7909499005 11073298607 12655198408 15273515320 15818998010 22146597214 31637996020 44293194428 55366493035 63275992040 88586388856 110732986070 221465972140 442931944280